Being resourceful

  • Largest Even
    problem

    Largest even

    Age
    5 to 11
    Challenge level
    filled star empty star empty star

    How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

  • missing multipliers
    problem

    Missing multipliers

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • Which is bigger?
    problem

    Which is bigger?

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

  • Which solids can we make?
    problem

    Which solids can we make?

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • The add and take-away path
    problem

    The add and take-away path

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

  • Area and perimeter
    problem

    Area and perimeter

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

  • What does random look like?
    problem

    What does random look like?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Engage in a little mathematical detective work to see if you can spot the fakes.

  • problem

    The car that passes

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

  • problem

    Inky cube

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • Last one standing
    problem

    Last one standing

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?